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18418802031 = 337217267719
BaseRepresentation
bin10001001001110110…
…001001110101101111
31202112122020002102000
4101021312021311233
5300210203131111
612243402503343
71221302143200
oct211166116557
952478202360
1018418802031
1178a1a2a643
1236a0504b53
131976c25c36
14c6a2c75a7
1572c032c56
hex449d89d6f

18418802031 has 144 divisors (see below), whose sum is σ = 34270041600. Its totient is φ = 9744489216.

The previous prime is 18418802023. The next prime is 18418802033. The reversal of 18418802031 is 13020881481.

It is not a de Polignac number, because 18418802031 - 23 = 18418802023 is a prime.

It is a super-2 number, since 2×184188020312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18418802033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25616890 + ... + 25617608.

It is an arithmetic number, because the mean of its divisors is an integer number (237986400).

Almost surely, 218418802031 is an apocalyptic number.

18418802031 is a deficient number, since it is larger than the sum of its proper divisors (15851239569).

18418802031 is a wasteful number, since it uses less digits than its factorization.

18418802031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 18418802031 in words is "eighteen billion, four hundred eighteen million, eight hundred two thousand, thirty-one".

Divisors: 1 3 7 9 17 21 27 49 51 63 67 119 147 153 189 201 289 357 441 459 469 603 719 833 867 1071 1139 1323 1407 1809 2023 2157 2499 2601 3213 3283 3417 4221 5033 6069 6471 7497 7803 7973 9849 10251 12223 12663 14161 15099 18207 19363 19413 22491 23919 29547 30753 35231 36669 42483 45297 48173 54621 55811 58089 71757 85561 88641 105693 110007 127449 135541 135891 144519 167433 174267 207791 215271 256683 317079 330021 337211 382347 406623 433557 502299 522801 598927 623373 770049 818941 948787 951237 1011633 1219869 1300671 1454537 1506897 1796781 1870119 2310147 2360477 2456823 2846361 3034899 3659607 4363611 5390343 5610357 5732587 7081431 7370469 8539083 9104697 10181759 13090833 13921997 16171029 17197761 21244293 22111407 25617249 30545277 39272499 40128109 41765991 51593283 63732879 91635831 97453979 120384327 125297973 154779849 274907493 292361937 361152981 375893919 682177853 877085811 1083458943 2046533559 2631257433 6139600677 18418802031